40468162775040 has 5184 divisors, whose sum is σ = 201231948939840. Its totient is φ = 7725337804800.

The previous prime is 40468162775009. The next prime is 40468162775059. The reversal of 40468162775040 is 4057726186404.

40468162775040 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 8 + 1 + 62 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 191792240535 + ... + 191792240745.

It is an arithmetic number, because the mean of its divisors is an integer number (38817891385).

Almost surely, 2^{40468162775040} is an apocalyptic number.

40468162775040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40468162775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100615974469920).

40468162775040 is an abundant number, since it is smaller than the sum of its proper divisors (160763786164800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40468162775040 is a wasteful number, since it uses less digits than its factorization.

40468162775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40468162775040 in words is "forty trillion, four hundred sixty-eight billion, one hundred sixty-two million, seven hundred seventy-five thousand, forty".